Date: 04/01/14 Time: 12:42
Sample (adjusted): 2007Q2 2013Q4
Included observations: 27 after adjustments
Trend assumption: Linear deterministic trend
Series: XT YT RT
Lags interval (in first differences): 1 to 5
Unrestricted Cointegration Rank Test (Trace)
Hypothesized Trace 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None * 0.879330 72.62702 29.79707 0.0000
At most 1 * 0.345950 15.53013 15.49471 0.0494
At most 2 * 0.139825 4.066712 3.841466 0.0437
Trace test indicates 3 cointegrating eqn(s) at the 0.05 level
* denotes rejection of the hypothesis at the 0.05 level
**MacKinnon-Haug-Michelis (1999) p-values
Unrestricted Cointegration Rank Test (Maximum Eigenvalue)
Hypothesized Max-Eigen 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None * 0.879330 57.09688 21.13162 0.0000
At most 1 0.345950 11.46342 14.26460 0.1325
At most 2 * 0.139825 4.066712 3.841466 0.0437
Max-eigenvalue test indicates 1 cointegrating eqn(s) at the 0.05 level
* denotes rejection of the hypothesis at the 0.05 level
**MacKinnon-Haug-Michelis (1999) p-values
Unrestricted Cointegrating Coefficients (normalized by b'*S11*b=I):
XT YT RT
-29.68374 35.17538 24.18591
-1.556852 -27.35432 -11.46831
-1.726777 44.47121 -21.07007
Unrestricted Adjustment Coefficients (alpha):
D(XT) 0.019000 -0.005544 0.002395
D(YT) -0.001290 -0.000553 -0.002749
D(RT) -0.008897 -0.001665 0.004766
1 Cointegrating Equation(s): Log likelihood 275.3367
Normalized cointegrating coefficients (standard error in parentheses)
XT YT RT
1.000000 -1.185005 -0.814786
(0.20322) (0.10166)
Adjustment coefficients (standard error in parentheses)
D(XT) -0.563980
(0.12573)
D(YT) 0.038288
(0.06972)
D(RT) 0.264082
(0.12641)
2 Cointegrating Equation(s): Log likelihood 281.0684
Normalized cointegrating coefficients (standard error in parentheses)
XT YT RT
1.000000 0.000000 -0.297883
(0.41770)
0.000000 1.000000 0.436204
(0.34504)
Adjustment coefficients (standard error in parentheses)
D(XT) -0.555349 0.819968
(0.11461) (0.17182)
D(YT) 0.039149 -0.030236
(0.06962) (0.10436)
D(RT) 0.266674 -0.267395
(0.12561) (0.18831)
问题1:特征根迹检验和最大特征值检验结果协整关系个数不一样怎么办?
问题2:协整方程是什么呢?